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Finding the Fourth Proportional to 40,400, 60,606.57 and 11,939.84

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Solution

The fourth proportional to 40,400, 60,606.57 and 11,939.84 is: 17,911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,400 : 60,606.57 = 11,939.84 : x
  2. Step 2: Convert to fraction form
    40,400/60,606.57 = 11,939.84/x
  3. Step 3: Cross multiply
    40,400x = 60,606.57 × 11,939.84
  4. Step 4: Simplify right side
    40,400x = 723,632,689.05
  5. Step 5: Solve for x
    x = 723,632,689.05/40,400
  6. Step 6: Final answer
    x = 17,911.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.